Geometry
posted by Elizabeth on .
The surface areas of two similar figures are given. The volume of the largwe figure is given. Find the volume of the smaller figure if the SA= 25 cm SA= 36cm and the V= 216cm?

I assume SA is surface area and is in cm^2
I assume V is volume and is in cm^3
SA proportional to length squared
Volume proportional to length cubed
length1^2/length2^2 = 25/36
so
length1/length 2 = sqrt(25/36) = .83333
so
length1^3/length2^3 = .83333^3 = .5787
so
V1 = .5787 V2 = 125 cm^3